Answer:
125
Explanation:
Given 10 of 16 marbles in a bag are black, you want to know the expected number of times a black marble will be drawn if a marble is drawn and replaced 200 times.
Expected number
The probability of drawing a black marble is the fraction of marbles that are black: 10/16 = 0.625. The expected number of draws of a black marble will be this value multiplied by the number of draws:
times picking black = 200 · 0.625 = 125
You can expect to pick a black marble 125 times.
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Additional comment
The usual caveats apply: each marble is equally likely to be drawn on any given draw. The draws are independent.
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